<HTML>
<BODY BGCOLOR="white">
<PRE>
<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math3.ode.sampling;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.exception.MaxCountExceededException;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.util.Precision;<a name="line.22"></a>
<FONT color="green">023</FONT>    <a name="line.23"></a>
<FONT color="green">024</FONT>    /**<a name="line.24"></a>
<FONT color="green">025</FONT>     * This class wraps an object implementing {@link FixedStepHandler}<a name="line.25"></a>
<FONT color="green">026</FONT>     * into a {@link StepHandler}.<a name="line.26"></a>
<FONT color="green">027</FONT>    <a name="line.27"></a>
<FONT color="green">028</FONT>     * &lt;p&gt;This wrapper allows to use fixed step handlers with general<a name="line.28"></a>
<FONT color="green">029</FONT>     * integrators which cannot guaranty their integration steps will<a name="line.29"></a>
<FONT color="green">030</FONT>     * remain constant and therefore only accept general step<a name="line.30"></a>
<FONT color="green">031</FONT>     * handlers.&lt;/p&gt;<a name="line.31"></a>
<FONT color="green">032</FONT>     *<a name="line.32"></a>
<FONT color="green">033</FONT>     * &lt;p&gt;The stepsize used is selected at construction time. The {@link<a name="line.33"></a>
<FONT color="green">034</FONT>     * FixedStepHandler#handleStep handleStep} method of the underlying<a name="line.34"></a>
<FONT color="green">035</FONT>     * {@link FixedStepHandler} object is called at normalized times. The<a name="line.35"></a>
<FONT color="green">036</FONT>     * normalized times can be influenced by the {@link StepNormalizerMode} and<a name="line.36"></a>
<FONT color="green">037</FONT>     * {@link StepNormalizerBounds}.&lt;/p&gt;<a name="line.37"></a>
<FONT color="green">038</FONT>     *<a name="line.38"></a>
<FONT color="green">039</FONT>     * &lt;p&gt;There is no constraint on the integrator, it can use any time step<a name="line.39"></a>
<FONT color="green">040</FONT>     * it needs (time steps longer or shorter than the fixed time step and<a name="line.40"></a>
<FONT color="green">041</FONT>     * non-integer ratios are all allowed).&lt;/p&gt;<a name="line.41"></a>
<FONT color="green">042</FONT>     *<a name="line.42"></a>
<FONT color="green">043</FONT>     * &lt;p&gt;<a name="line.43"></a>
<FONT color="green">044</FONT>     * &lt;table border="1" align="center"&gt;<a name="line.44"></a>
<FONT color="green">045</FONT>     * &lt;tr BGCOLOR="#CCCCFF"&gt;&lt;td colspan=6&gt;&lt;font size="+2"&gt;Examples (step size = 0.5)&lt;/font&gt;&lt;/td&gt;&lt;/tr&gt;<a name="line.45"></a>
<FONT color="green">046</FONT>     * &lt;tr BGCOLOR="#EEEEFF"&gt;&lt;font size="+1"&gt;&lt;td&gt;Start time&lt;/td&gt;&lt;td&gt;End time&lt;/td&gt;<a name="line.46"></a>
<FONT color="green">047</FONT>     *  &lt;td&gt;Direction&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode Mode}&lt;/td&gt;<a name="line.47"></a>
<FONT color="green">048</FONT>     *  &lt;td&gt;{@link StepNormalizerBounds Bounds}&lt;/td&gt;&lt;td&gt;Output&lt;/td&gt;&lt;/font&gt;&lt;/tr&gt;<a name="line.48"></a>
<FONT color="green">049</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;0.8, 1.3, 1.8, 2.3, 2.8&lt;/td&gt;&lt;/tr&gt;<a name="line.49"></a>
<FONT color="green">050</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;0.3, 0.8, 1.3, 1.8, 2.3, 2.8&lt;/td&gt;&lt;/tr&gt;<a name="line.50"></a>
<FONT color="green">051</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;0.8, 1.3, 1.8, 2.3, 2.8, 3.1&lt;/td&gt;&lt;/tr&gt;<a name="line.51"></a>
<FONT color="green">052</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;0.3, 0.8, 1.3, 1.8, 2.3, 2.8, 3.1&lt;/td&gt;&lt;/tr&gt;<a name="line.52"></a>
<FONT color="green">053</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.53"></a>
<FONT color="green">054</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;0.3, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.54"></a>
<FONT color="green">055</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.1&lt;/td&gt;&lt;/tr&gt;<a name="line.55"></a>
<FONT color="green">056</FONT>     * &lt;tr&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;0.3, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.1&lt;/td&gt;&lt;/tr&gt;<a name="line.56"></a>
<FONT color="green">057</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.57"></a>
<FONT color="green">058</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.58"></a>
<FONT color="green">059</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.59"></a>
<FONT color="green">060</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.60"></a>
<FONT color="green">061</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.61"></a>
<FONT color="green">062</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.62"></a>
<FONT color="green">063</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.63"></a>
<FONT color="green">064</FONT>     * &lt;tr&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;forward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0&lt;/td&gt;&lt;/tr&gt;<a name="line.64"></a>
<FONT color="green">065</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;2.6, 2.1, 1.6, 1.1, 0.6&lt;/td&gt;&lt;/tr&gt;<a name="line.65"></a>
<FONT color="green">066</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;3.1, 2.6, 2.1, 1.6, 1.1, 0.6&lt;/td&gt;&lt;/tr&gt;<a name="line.66"></a>
<FONT color="green">067</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;2.6, 2.1, 1.6, 1.1, 0.6, 0.3&lt;/td&gt;&lt;/tr&gt;<a name="line.67"></a>
<FONT color="green">068</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;3.1, 2.6, 2.1, 1.6, 1.1, 0.6, 0.3&lt;/td&gt;&lt;/tr&gt;<a name="line.68"></a>
<FONT color="green">069</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5&lt;/td&gt;&lt;/tr&gt;<a name="line.69"></a>
<FONT color="green">070</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;3.1, 3.0, 2.5, 2.0, 1.5, 1.0, 0.5&lt;/td&gt;&lt;/tr&gt;<a name="line.70"></a>
<FONT color="green">071</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.3&lt;/td&gt;&lt;/tr&gt;<a name="line.71"></a>
<FONT color="green">072</FONT>     * &lt;tr&gt;&lt;td&gt;3.1&lt;/td&gt;&lt;td&gt;0.3&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;3.1, 3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.3&lt;/td&gt;&lt;/tr&gt;<a name="line.72"></a>
<FONT color="green">073</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.73"></a>
<FONT color="green">074</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.74"></a>
<FONT color="green">075</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.75"></a>
<FONT color="green">076</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#INCREMENT INCREMENT}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.76"></a>
<FONT color="green">077</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#NEITHER NEITHER}&lt;/td&gt;&lt;td&gt;2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.77"></a>
<FONT color="green">078</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#FIRST FIRST}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.78"></a>
<FONT color="green">079</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#LAST LAST}&lt;/td&gt;&lt;td&gt;2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.79"></a>
<FONT color="green">080</FONT>     * &lt;tr&gt;&lt;td&gt;3.0&lt;/td&gt;&lt;td&gt;0.0&lt;/td&gt;&lt;td&gt;backward&lt;/td&gt;&lt;td&gt;{@link StepNormalizerMode#MULTIPLES MULTIPLES}&lt;/td&gt;&lt;td&gt;{@link StepNormalizerBounds#BOTH BOTH}&lt;/td&gt;&lt;td&gt;3.0, 2.5, 2.0, 1.5, 1.0, 0.5, 0.0&lt;/td&gt;&lt;/tr&gt;<a name="line.80"></a>
<FONT color="green">081</FONT>     * &lt;/table&gt;<a name="line.81"></a>
<FONT color="green">082</FONT>     * &lt;/p&gt;<a name="line.82"></a>
<FONT color="green">083</FONT>     *<a name="line.83"></a>
<FONT color="green">084</FONT>     * @see StepHandler<a name="line.84"></a>
<FONT color="green">085</FONT>     * @see FixedStepHandler<a name="line.85"></a>
<FONT color="green">086</FONT>     * @see StepNormalizerMode<a name="line.86"></a>
<FONT color="green">087</FONT>     * @see StepNormalizerBounds<a name="line.87"></a>
<FONT color="green">088</FONT>     * @version $Id: StepNormalizer.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.88"></a>
<FONT color="green">089</FONT>     * @since 1.2<a name="line.89"></a>
<FONT color="green">090</FONT>     */<a name="line.90"></a>
<FONT color="green">091</FONT>    <a name="line.91"></a>
<FONT color="green">092</FONT>    public class StepNormalizer implements StepHandler {<a name="line.92"></a>
<FONT color="green">093</FONT>        /** Fixed time step. */<a name="line.93"></a>
<FONT color="green">094</FONT>        private double h;<a name="line.94"></a>
<FONT color="green">095</FONT>    <a name="line.95"></a>
<FONT color="green">096</FONT>        /** Underlying step handler. */<a name="line.96"></a>
<FONT color="green">097</FONT>        private final FixedStepHandler handler;<a name="line.97"></a>
<FONT color="green">098</FONT>    <a name="line.98"></a>
<FONT color="green">099</FONT>        /** First step time. */<a name="line.99"></a>
<FONT color="green">100</FONT>        private double firstTime;<a name="line.100"></a>
<FONT color="green">101</FONT>    <a name="line.101"></a>
<FONT color="green">102</FONT>        /** Last step time. */<a name="line.102"></a>
<FONT color="green">103</FONT>        private double lastTime;<a name="line.103"></a>
<FONT color="green">104</FONT>    <a name="line.104"></a>
<FONT color="green">105</FONT>        /** Last state vector. */<a name="line.105"></a>
<FONT color="green">106</FONT>        private double[] lastState;<a name="line.106"></a>
<FONT color="green">107</FONT>    <a name="line.107"></a>
<FONT color="green">108</FONT>        /** Last derivatives vector. */<a name="line.108"></a>
<FONT color="green">109</FONT>        private double[] lastDerivatives;<a name="line.109"></a>
<FONT color="green">110</FONT>    <a name="line.110"></a>
<FONT color="green">111</FONT>        /** Integration direction indicator. */<a name="line.111"></a>
<FONT color="green">112</FONT>        private boolean forward;<a name="line.112"></a>
<FONT color="green">113</FONT>    <a name="line.113"></a>
<FONT color="green">114</FONT>        /** The step normalizer bounds settings to use. */<a name="line.114"></a>
<FONT color="green">115</FONT>        private final StepNormalizerBounds bounds;<a name="line.115"></a>
<FONT color="green">116</FONT>    <a name="line.116"></a>
<FONT color="green">117</FONT>        /** The step normalizer mode to use. */<a name="line.117"></a>
<FONT color="green">118</FONT>        private final StepNormalizerMode mode;<a name="line.118"></a>
<FONT color="green">119</FONT>    <a name="line.119"></a>
<FONT color="green">120</FONT>        /** Simple constructor. Uses {@link StepNormalizerMode#INCREMENT INCREMENT}<a name="line.120"></a>
<FONT color="green">121</FONT>         * mode, and {@link StepNormalizerBounds#FIRST FIRST} bounds setting, for<a name="line.121"></a>
<FONT color="green">122</FONT>         * backwards compatibility.<a name="line.122"></a>
<FONT color="green">123</FONT>         * @param h fixed time step (sign is not used)<a name="line.123"></a>
<FONT color="green">124</FONT>         * @param handler fixed time step handler to wrap<a name="line.124"></a>
<FONT color="green">125</FONT>         */<a name="line.125"></a>
<FONT color="green">126</FONT>        public StepNormalizer(final double h, final FixedStepHandler handler) {<a name="line.126"></a>
<FONT color="green">127</FONT>            this(h, handler, StepNormalizerMode.INCREMENT,<a name="line.127"></a>
<FONT color="green">128</FONT>                 StepNormalizerBounds.FIRST);<a name="line.128"></a>
<FONT color="green">129</FONT>        }<a name="line.129"></a>
<FONT color="green">130</FONT>    <a name="line.130"></a>
<FONT color="green">131</FONT>        /** Simple constructor. Uses {@link StepNormalizerBounds#FIRST FIRST}<a name="line.131"></a>
<FONT color="green">132</FONT>         * bounds setting.<a name="line.132"></a>
<FONT color="green">133</FONT>         * @param h fixed time step (sign is not used)<a name="line.133"></a>
<FONT color="green">134</FONT>         * @param handler fixed time step handler to wrap<a name="line.134"></a>
<FONT color="green">135</FONT>         * @param mode step normalizer mode to use<a name="line.135"></a>
<FONT color="green">136</FONT>         * @since 3.0<a name="line.136"></a>
<FONT color="green">137</FONT>         */<a name="line.137"></a>
<FONT color="green">138</FONT>        public StepNormalizer(final double h, final FixedStepHandler handler,<a name="line.138"></a>
<FONT color="green">139</FONT>                              final StepNormalizerMode mode) {<a name="line.139"></a>
<FONT color="green">140</FONT>            this(h, handler, mode, StepNormalizerBounds.FIRST);<a name="line.140"></a>
<FONT color="green">141</FONT>        }<a name="line.141"></a>
<FONT color="green">142</FONT>    <a name="line.142"></a>
<FONT color="green">143</FONT>        /** Simple constructor. Uses {@link StepNormalizerMode#INCREMENT INCREMENT}<a name="line.143"></a>
<FONT color="green">144</FONT>         * mode.<a name="line.144"></a>
<FONT color="green">145</FONT>         * @param h fixed time step (sign is not used)<a name="line.145"></a>
<FONT color="green">146</FONT>         * @param handler fixed time step handler to wrap<a name="line.146"></a>
<FONT color="green">147</FONT>         * @param bounds step normalizer bounds setting to use<a name="line.147"></a>
<FONT color="green">148</FONT>         * @since 3.0<a name="line.148"></a>
<FONT color="green">149</FONT>         */<a name="line.149"></a>
<FONT color="green">150</FONT>        public StepNormalizer(final double h, final FixedStepHandler handler,<a name="line.150"></a>
<FONT color="green">151</FONT>                              final StepNormalizerBounds bounds) {<a name="line.151"></a>
<FONT color="green">152</FONT>            this(h, handler, StepNormalizerMode.INCREMENT, bounds);<a name="line.152"></a>
<FONT color="green">153</FONT>        }<a name="line.153"></a>
<FONT color="green">154</FONT>    <a name="line.154"></a>
<FONT color="green">155</FONT>        /** Simple constructor.<a name="line.155"></a>
<FONT color="green">156</FONT>         * @param h fixed time step (sign is not used)<a name="line.156"></a>
<FONT color="green">157</FONT>         * @param handler fixed time step handler to wrap<a name="line.157"></a>
<FONT color="green">158</FONT>         * @param mode step normalizer mode to use<a name="line.158"></a>
<FONT color="green">159</FONT>         * @param bounds step normalizer bounds setting to use<a name="line.159"></a>
<FONT color="green">160</FONT>         * @since 3.0<a name="line.160"></a>
<FONT color="green">161</FONT>         */<a name="line.161"></a>
<FONT color="green">162</FONT>        public StepNormalizer(final double h, final FixedStepHandler handler,<a name="line.162"></a>
<FONT color="green">163</FONT>                              final StepNormalizerMode mode,<a name="line.163"></a>
<FONT color="green">164</FONT>                              final StepNormalizerBounds bounds) {<a name="line.164"></a>
<FONT color="green">165</FONT>            this.h          = FastMath.abs(h);<a name="line.165"></a>
<FONT color="green">166</FONT>            this.handler    = handler;<a name="line.166"></a>
<FONT color="green">167</FONT>            this.mode       = mode;<a name="line.167"></a>
<FONT color="green">168</FONT>            this.bounds     = bounds;<a name="line.168"></a>
<FONT color="green">169</FONT>            firstTime       = Double.NaN;<a name="line.169"></a>
<FONT color="green">170</FONT>            lastTime        = Double.NaN;<a name="line.170"></a>
<FONT color="green">171</FONT>            lastState       = null;<a name="line.171"></a>
<FONT color="green">172</FONT>            lastDerivatives = null;<a name="line.172"></a>
<FONT color="green">173</FONT>            forward         = true;<a name="line.173"></a>
<FONT color="green">174</FONT>        }<a name="line.174"></a>
<FONT color="green">175</FONT>    <a name="line.175"></a>
<FONT color="green">176</FONT>        /** {@inheritDoc} */<a name="line.176"></a>
<FONT color="green">177</FONT>        public void init(double t0, double[] y0, double t) {<a name="line.177"></a>
<FONT color="green">178</FONT>    <a name="line.178"></a>
<FONT color="green">179</FONT>            firstTime       = Double.NaN;<a name="line.179"></a>
<FONT color="green">180</FONT>            lastTime        = Double.NaN;<a name="line.180"></a>
<FONT color="green">181</FONT>            lastState       = null;<a name="line.181"></a>
<FONT color="green">182</FONT>            lastDerivatives = null;<a name="line.182"></a>
<FONT color="green">183</FONT>            forward         = true;<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>            // initialize the underlying handler<a name="line.185"></a>
<FONT color="green">186</FONT>            handler.init(t0, y0, t);<a name="line.186"></a>
<FONT color="green">187</FONT>    <a name="line.187"></a>
<FONT color="green">188</FONT>        }<a name="line.188"></a>
<FONT color="green">189</FONT>    <a name="line.189"></a>
<FONT color="green">190</FONT>        /**<a name="line.190"></a>
<FONT color="green">191</FONT>         * Handle the last accepted step<a name="line.191"></a>
<FONT color="green">192</FONT>         * @param interpolator interpolator for the last accepted step. For<a name="line.192"></a>
<FONT color="green">193</FONT>         * efficiency purposes, the various integrators reuse the same<a name="line.193"></a>
<FONT color="green">194</FONT>         * object on each call, so if the instance wants to keep it across<a name="line.194"></a>
<FONT color="green">195</FONT>         * all calls (for example to provide at the end of the integration a<a name="line.195"></a>
<FONT color="green">196</FONT>         * continuous model valid throughout the integration range), it<a name="line.196"></a>
<FONT color="green">197</FONT>         * should build a local copy using the clone method and store this<a name="line.197"></a>
<FONT color="green">198</FONT>         * copy.<a name="line.198"></a>
<FONT color="green">199</FONT>         * @param isLast true if the step is the last one<a name="line.199"></a>
<FONT color="green">200</FONT>         * @exception MaxCountExceededException if the interpolator throws one because<a name="line.200"></a>
<FONT color="green">201</FONT>         * the number of functions evaluations is exceeded<a name="line.201"></a>
<FONT color="green">202</FONT>         */<a name="line.202"></a>
<FONT color="green">203</FONT>        public void handleStep(final StepInterpolator interpolator, final boolean isLast)<a name="line.203"></a>
<FONT color="green">204</FONT>            throws MaxCountExceededException {<a name="line.204"></a>
<FONT color="green">205</FONT>            // The first time, update the last state with the start information.<a name="line.205"></a>
<FONT color="green">206</FONT>            if (lastState == null) {<a name="line.206"></a>
<FONT color="green">207</FONT>                firstTime = interpolator.getPreviousTime();<a name="line.207"></a>
<FONT color="green">208</FONT>                lastTime = interpolator.getPreviousTime();<a name="line.208"></a>
<FONT color="green">209</FONT>                interpolator.setInterpolatedTime(lastTime);<a name="line.209"></a>
<FONT color="green">210</FONT>                lastState = interpolator.getInterpolatedState().clone();<a name="line.210"></a>
<FONT color="green">211</FONT>                lastDerivatives = interpolator.getInterpolatedDerivatives().clone();<a name="line.211"></a>
<FONT color="green">212</FONT>    <a name="line.212"></a>
<FONT color="green">213</FONT>                // Take the integration direction into account.<a name="line.213"></a>
<FONT color="green">214</FONT>                forward = interpolator.getCurrentTime() &gt;= lastTime;<a name="line.214"></a>
<FONT color="green">215</FONT>                if (!forward) {<a name="line.215"></a>
<FONT color="green">216</FONT>                    h = -h;<a name="line.216"></a>
<FONT color="green">217</FONT>                }<a name="line.217"></a>
<FONT color="green">218</FONT>            }<a name="line.218"></a>
<FONT color="green">219</FONT>    <a name="line.219"></a>
<FONT color="green">220</FONT>            // Calculate next normalized step time.<a name="line.220"></a>
<FONT color="green">221</FONT>            double nextTime = (mode == StepNormalizerMode.INCREMENT) ?<a name="line.221"></a>
<FONT color="green">222</FONT>                              lastTime + h :<a name="line.222"></a>
<FONT color="green">223</FONT>                              (FastMath.floor(lastTime / h) + 1) * h;<a name="line.223"></a>
<FONT color="green">224</FONT>            if (mode == StepNormalizerMode.MULTIPLES &amp;&amp;<a name="line.224"></a>
<FONT color="green">225</FONT>                Precision.equals(nextTime, lastTime, 1)) {<a name="line.225"></a>
<FONT color="green">226</FONT>                nextTime += h;<a name="line.226"></a>
<FONT color="green">227</FONT>            }<a name="line.227"></a>
<FONT color="green">228</FONT>    <a name="line.228"></a>
<FONT color="green">229</FONT>            // Process normalized steps as long as they are in the current step.<a name="line.229"></a>
<FONT color="green">230</FONT>            boolean nextInStep = isNextInStep(nextTime, interpolator);<a name="line.230"></a>
<FONT color="green">231</FONT>            while (nextInStep) {<a name="line.231"></a>
<FONT color="green">232</FONT>                // Output the stored previous step.<a name="line.232"></a>
<FONT color="green">233</FONT>                doNormalizedStep(false);<a name="line.233"></a>
<FONT color="green">234</FONT>    <a name="line.234"></a>
<FONT color="green">235</FONT>                // Store the next step as last step.<a name="line.235"></a>
<FONT color="green">236</FONT>                storeStep(interpolator, nextTime);<a name="line.236"></a>
<FONT color="green">237</FONT>    <a name="line.237"></a>
<FONT color="green">238</FONT>                // Move on to the next step.<a name="line.238"></a>
<FONT color="green">239</FONT>                nextTime += h;<a name="line.239"></a>
<FONT color="green">240</FONT>                nextInStep = isNextInStep(nextTime, interpolator);<a name="line.240"></a>
<FONT color="green">241</FONT>            }<a name="line.241"></a>
<FONT color="green">242</FONT>    <a name="line.242"></a>
<FONT color="green">243</FONT>            if (isLast) {<a name="line.243"></a>
<FONT color="green">244</FONT>                // There will be no more steps. The stored one should be given to<a name="line.244"></a>
<FONT color="green">245</FONT>                // the handler. We may have to output one more step. Only the last<a name="line.245"></a>
<FONT color="green">246</FONT>                // one of those should be flagged as being the last.<a name="line.246"></a>
<FONT color="green">247</FONT>                boolean addLast = bounds.lastIncluded() &amp;&amp;<a name="line.247"></a>
<FONT color="green">248</FONT>                                  lastTime != interpolator.getCurrentTime();<a name="line.248"></a>
<FONT color="green">249</FONT>                doNormalizedStep(!addLast);<a name="line.249"></a>
<FONT color="green">250</FONT>                if (addLast) {<a name="line.250"></a>
<FONT color="green">251</FONT>                    storeStep(interpolator, interpolator.getCurrentTime());<a name="line.251"></a>
<FONT color="green">252</FONT>                    doNormalizedStep(true);<a name="line.252"></a>
<FONT color="green">253</FONT>                }<a name="line.253"></a>
<FONT color="green">254</FONT>            }<a name="line.254"></a>
<FONT color="green">255</FONT>        }<a name="line.255"></a>
<FONT color="green">256</FONT>    <a name="line.256"></a>
<FONT color="green">257</FONT>        /**<a name="line.257"></a>
<FONT color="green">258</FONT>         * Returns a value indicating whether the next normalized time is in the<a name="line.258"></a>
<FONT color="green">259</FONT>         * current step.<a name="line.259"></a>
<FONT color="green">260</FONT>         * @param nextTime the next normalized time<a name="line.260"></a>
<FONT color="green">261</FONT>         * @param interpolator interpolator for the last accepted step, to use to<a name="line.261"></a>
<FONT color="green">262</FONT>         * get the end time of the current step<a name="line.262"></a>
<FONT color="green">263</FONT>         * @return value indicating whether the next normalized time is in the<a name="line.263"></a>
<FONT color="green">264</FONT>         * current step<a name="line.264"></a>
<FONT color="green">265</FONT>         */<a name="line.265"></a>
<FONT color="green">266</FONT>        private boolean isNextInStep(double nextTime,<a name="line.266"></a>
<FONT color="green">267</FONT>                                     StepInterpolator interpolator) {<a name="line.267"></a>
<FONT color="green">268</FONT>            return forward ?<a name="line.268"></a>
<FONT color="green">269</FONT>                   nextTime &lt;= interpolator.getCurrentTime() :<a name="line.269"></a>
<FONT color="green">270</FONT>                   nextTime &gt;= interpolator.getCurrentTime();<a name="line.270"></a>
<FONT color="green">271</FONT>        }<a name="line.271"></a>
<FONT color="green">272</FONT>    <a name="line.272"></a>
<FONT color="green">273</FONT>        /**<a name="line.273"></a>
<FONT color="green">274</FONT>         * Invokes the underlying step handler for the current normalized step.<a name="line.274"></a>
<FONT color="green">275</FONT>         * @param isLast true if the step is the last one<a name="line.275"></a>
<FONT color="green">276</FONT>         */<a name="line.276"></a>
<FONT color="green">277</FONT>        private void doNormalizedStep(boolean isLast) {<a name="line.277"></a>
<FONT color="green">278</FONT>            if (!bounds.firstIncluded() &amp;&amp; firstTime == lastTime) {<a name="line.278"></a>
<FONT color="green">279</FONT>                return;<a name="line.279"></a>
<FONT color="green">280</FONT>            }<a name="line.280"></a>
<FONT color="green">281</FONT>            handler.handleStep(lastTime, lastState, lastDerivatives, isLast);<a name="line.281"></a>
<FONT color="green">282</FONT>        }<a name="line.282"></a>
<FONT color="green">283</FONT>    <a name="line.283"></a>
<FONT color="green">284</FONT>        /** Stores the interpolated information for the given time in the current<a name="line.284"></a>
<FONT color="green">285</FONT>         * state.<a name="line.285"></a>
<FONT color="green">286</FONT>         * @param interpolator interpolator for the last accepted step, to use to<a name="line.286"></a>
<FONT color="green">287</FONT>         * get the interpolated information<a name="line.287"></a>
<FONT color="green">288</FONT>         * @param t the time for which to store the interpolated information<a name="line.288"></a>
<FONT color="green">289</FONT>         * @exception MaxCountExceededException if the interpolator throws one because<a name="line.289"></a>
<FONT color="green">290</FONT>         * the number of functions evaluations is exceeded<a name="line.290"></a>
<FONT color="green">291</FONT>         */<a name="line.291"></a>
<FONT color="green">292</FONT>        private void storeStep(StepInterpolator interpolator, double t)<a name="line.292"></a>
<FONT color="green">293</FONT>            throws MaxCountExceededException {<a name="line.293"></a>
<FONT color="green">294</FONT>            lastTime = t;<a name="line.294"></a>
<FONT color="green">295</FONT>            interpolator.setInterpolatedTime(lastTime);<a name="line.295"></a>
<FONT color="green">296</FONT>            System.arraycopy(interpolator.getInterpolatedState(), 0,<a name="line.296"></a>
<FONT color="green">297</FONT>                             lastState, 0, lastState.length);<a name="line.297"></a>
<FONT color="green">298</FONT>            System.arraycopy(interpolator.getInterpolatedDerivatives(), 0,<a name="line.298"></a>
<FONT color="green">299</FONT>                             lastDerivatives, 0, lastDerivatives.length);<a name="line.299"></a>
<FONT color="green">300</FONT>        }<a name="line.300"></a>
<FONT color="green">301</FONT>    }<a name="line.301"></a>




























































</PRE>
</BODY>
</HTML>
